Suppose a simple random sample of size n = 1000 is obtained from a population whose size is n = 2,000,000 and whose population proportion with a specified characteristic is p = 0.49 . what is the probability of obtaining x = 520 or more individuals with the characteristic?

Step-by-step explanation:

Given data:

random sample size n = 1000

Population size is N - 2,000,000

P = 0.49

We know

Probability for having X =520

sample proportion

P(X≥520) =0.02938

Step-by-step explanation:

given,

n = 1000

Population size = N = 2,000,000

Specified characteristic = P = 0.49

Probability of obtaining x = 520

for x = 520

p = 520/1000 = 0.52

P(X≥520) = P(p≥0.52)

P(p≥0.52) =

P(p≥0.52) =

using z-table

P(p≥0.52) = 0.02938

P(X≥520) =0.02938

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they will manufacture 8496 cars